Search a number
-
+
2928644468292 = 2231136073558101
BaseRepresentation
bin101010100111100000110…
…100000010111001000100
3101100222100021020200122110
4222213200310002321010
5340440330440441132
610121222314501020
7421405353146664
oct52474064027104
911328307220573
102928644468292
11a2a0384a8674
123b3711134770
131832296063aa
14a1a662661a4
15512aa1241cc
hex2a9e0d02e44

2928644468292 has 48 divisors (see below), whose sum is σ = 6905336643072. Its totient is φ = 965981452800.

The previous prime is 2928644468291. The next prime is 2928644468303.

2928644468292 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2928644468291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955959 + ... + 2602142.

It is an arithmetic number, because the mean of its divisors is an integer number (143861180064).

Almost surely, 22928644468292 is an apocalyptic number.

It is an amenable number.

2928644468292 is an abundant number, since it is smaller than the sum of its proper divisors (3976692174780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2928644468292 is a wasteful number, since it uses less digits than its factorization.

2928644468292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558828 (or 3558826 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 2928644468292 in words is "two trillion, nine hundred twenty-eight billion, six hundred forty-four million, four hundred sixty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 113 226 339 452 607 678 1214 1356 1821 2428 3642 7284 68591 137182 205773 274364 411546 823092 3558101 7116202 10674303 14232404 21348606 42697212 402065413 804130826 1206196239 1608261652 2159767307 2412392478 4319534614 4824784956 6479301921 8639069228 12958603842 25917207684 244053705691 488107411382 732161117073 976214822764 1464322234146 2928644468292